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Finding the Fourth Proportional to 20,865, 31,300.06 and 6,273

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Solution

The fourth proportional to 20,865, 31,300.06 and 6,273 is: 9,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865 : 31,300.06 = 6,273 : x
  2. Step 2: Convert to fraction form
    20,865/31,300.06 = 6,273/x
  3. Step 3: Cross multiply
    20,865x = 31,300.06 × 6,273
  4. Step 4: Simplify right side
    20,865x = 196,345,276.38
  5. Step 5: Solve for x
    x = 196,345,276.38/20,865
  6. Step 6: Final answer
    x = 9,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.